Stat 210B Homework Assignment 5(due April 3)1. SupposebardblPn-Qnbardbl →0. Show thatPnandQnare mutually contiguous.2. Suppose, underPn,Xn=Yn+oPn(1). SupposeQnis contiguous toPn. Show thatXn=Yn+oQn(1).3. SupposePθis the uniform distribution on (0, θ).LetPnθdenote the distribution ofniiddraws fromPθ. Fixhand determine whether or notPn1andPn1+h/nare mutually contiguous.Consider bothh >0 andh <0.4. Let
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